72527 has 8 divisors (see below), whose sum is σ = 89376. Its totient is φ = 57312.

The previous prime is 72503. The next prime is 72533.

72527 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72527 - 2⁸ = 72271 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72527.

It is not an unprimeable number, because it can be changed into a prime (72547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2⁷²⁵²⁷ is an apocalyptic number.

72527 is a deficient number, since it is larger than the sum of its proper divisors (16849).

72527 is a wasteful number, since it uses less digits than its factorization.

72527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817.

The product of its digits is 980, while the sum is 23.

The square root of 72527 is about 269.3083734309. The cubic root of 72527 is about 41.7029302076.

It can be divided in two parts, 7 and 2527, that multiplied together give a square (17689 = 133²).

The spelling of 72527 in words is "seventy-two thousand, five hundred twenty-seven".